11th grade Add and subtract rational expressions, and simplify complex fractions worksheet

Add and subtract rational expressions, and simplify complex fractions

Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Jun works out 2/(x + 3) + 5/(x − 2) on a worksheet. Which is the answer as one fraction?

   • 7/(2x + 1)
   • (7x + 11)/((x + 3)(x − 2))
   • 7/((x + 3)(x − 2))
2. 2.

   Kira works out 4/(x − 5) + 3/(x + 1) in a notebook. Which is the answer as one fraction?

   • 7/((x − 5)(x + 1))
   • 7/(2x − 4)
   • (7x − 11)/((x − 5)(x + 1))
3. 3.

   Milo works out 3/(x − 4) − 2/(x + 5) from a math book. Which is the answer as one fraction?

   • (x + 7)/((x − 4)(x + 5))
   • (5x + 7)/((x − 4)(x + 5))
   • (x + 23)/((x − 4)(x + 5))
   • 1/((x − 4)(x + 5))
4. 4.

   Noah adds 1/(x² − 9) + 2/(x² + 5x + 6) on a worksheet. Which is the least common denominator (LCD)?

   • x + 3
   • (x − 3)(x + 3)²(x + 2)
   • (x − 3)(x + 3)(x + 2)
5. 5.

   Pia adds x/(x² − 4x) + 3/(x² − 16) in a notebook. Which is the least common denominator (LCD)?

   • x(x − 4)(x + 4)
   • x(x − 4)²(x + 4)
   • x − 4
6. 6.

   Tala adds 2/(x² − 6x + 9) + 7/(x² − 9) from a math book. Which is the least common denominator (LCD)?

   • (x − 3)(x + 3)
   • (x − 3)³(x + 3)
   • (x − 3)²(x + 3)
   • x − 3
7. 7.

   Zee simplifies the complex fraction (x − 4/x)/(1 + 2/x) on a worksheet. What is it in simplest form?
8. 8.

   Ari simplifies the complex fraction (x − 9/x)/(1 − 3/x) in a notebook. What is it in simplest form?
9. 9.

   Bo simplifies the complex fraction (1 − 25/x²)/(1/x + 5/x²) in pencil. What is it in simplest form?
10. 10.

    Esme simplifies the complex fraction (x + 1 − 6/x)/(1 − 2/x) from a math book. What is it in simplest form?